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期刊论文
MAXIMUM INFORMATION AND OPTIMUM ESTIMATING FUNCTION**
Chin. Ann. Math. 24B: 3 (2003), 349-358.,-0001,():
In order to construct estimating functions in some parametric models, this paper introduces two classes ofinformation matrices. Some necessary and suficient conditions for the information matrices achieving their upper bounds are given. For the problem of estimating the median, some optimum estimating functions based on the informa tion matrices are acquired. Under some regularity conditions, an approachtocarrying outthebestbasisfunct ionisintro duced. In nonlinear regression models, an optimum estim ating function based on the inform ation m atrices isobtained. Some exam ples aregivento illustratethe results. Finally, theco ncept of optimum estim atingfunct ionan dthem ethodsofco ns tructing optimum estimating functionar edeveloped in more general statistical models.
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